Question

Show transcribed image textThus, for all time, We notice that the inductor current is continuous at t = 0, while the current through the 6-Ohm resistor drops from 0 to -2/3 at t = 0, and the voltage across the 3-Ohm resistor drops from 6 to 4 at t = 0. We also notice that the time constant is the same regardless of what the output is defined to be. Figure 7.21 plots i and i0. Figure 7.21 A plot of i and i0. Determine i, i0, and v0 for all t in the circuit shown in Fig. 7.22. Assume that the switch was closed for a long time. Figure 7.22 For Practice Prob. 7.5. Before going on with the second half of this chapter, we need to digress and consider some mathematical concepts that will aid our understanding of transient analysis. A basic understanding of singularity functions will help us make sense of the response of first-order circuits to a sudden